Arbeitsgruppe Funktionalanalysis

Introduction to port-Hamiltonian Systems (2025)

  • This self-contained Online Course by Hannes Gernandt (Wuppertal) and Timo Reis (Ilmenau) is aimed at interested Master's and PhD students in engineering, mathematics or science who have a basic understanding of linear algebra and calculus.
  • To access the material you have to fill in the Course Registration
  • After the lecture period, interested students are invited to work on small projects and attend a final symposium where you can meet international experts

Lecture Phase (April 9th - July 11th 2025)

  • Lecture 1 (Examples):  Recording   Lecture Notes   Slides   
  • Lecture 2 (Examples):  Recording   Lecture Notes   Slides 
  • Discussion Lecture 1+2 Thursday 24.04.25 10-12 in Hörsaal 7
  • Lecture 3 (ODE Solutions): Recording   Lecture Notes  Slides 
  • Discussion Lecture 3 Wednesday 30.04.25 10-12 in Hörsaal 7
  • Lecture 4 (ODE Solutions): Wednesday 30.04.25, 10-12 in Hörsaal 7, Recording Upload 2nd May 2025
  • Lecture 5 (Stability): Wednesday 07.05.25, 10-12 in Hörsaal 7, Recording Upload 9th May 2025
  • Lecture 6 (Stability): Wednesday 14.05.25, 10-12 in Hörsaal 7, 
  • Lecture 7 (Energy Shaping, Damping Assignment): Wednesday 21.05.25, 10-12 in Hörsaal 7
  • Lecture 8 (DAEs): Wednesday 28.05.25, 10-12 in Hörsaal 7
  • Lecture 9 (DAEs): Wednesday 04.06.25, 10-12 in Hörsaal 7 in Wuppertal
  • Lecture 10 (Geometry): Wednesday 18.06.25, 10-12 in Hörsaal 7
  • Lecture 11 (Geometry): Wednesday 25.06.25, 10-12 in Hörsaal 7
  • Lecture 12 (Circuit modeling): Wednesday 02.07.25, 10-12 in Hörsaal 7
  • Lecture 13 (Project Phase): Wednesday 09.07.25, 10-12 in Hörsaal 7

 

Exercise 1: Sheet 1, Topic: Introductory Examples, pH Modeling Discussion Friday 02.05.25, 12-14 + Upload of Solutions

Exercise 2: Friday 09.05.24, 12-14, Topic: ODE Solutions

Exercise 3: Friday 23.05.24, 12-14, Topic: Stability

Exercise 4: Friday 06.06.24, 12-14, Topic: Energy Shapinge

Exercise 5: Friday 27.06.24, 12-14, Topic: DAEs and Geometry

Project Phase (September 25 - January 26)

  • The project phase starts in September 2025  and end with the Symposium in Wuppertal from 12.01. - 15.01.26 where the topics of the projects will be presented and discussed.
  • If you have an idea for a group project, then please upload a few lines of project description and the name of the coordinators and upload it in the Shared Folder until 1st August 2025.
  • Alternatively, you can join a project group based on your interests. A link for voting will be provided later.

Have a look at the Project descriptions and choose your favourite projects here.

  • P01 - "Dissipative Hamiltonian DAEs in infinite dimensions" (Hannes Gernandt, Mehmet-Emin Erbay)
  • P02 - "Linear-Quadratic optimal control for a class of infinite-dimensional pH systems" (Anthony Hastir , Birgit Jacob, Hans Zwart)
  • P03 - "PH modelling of eddy current brakes" (Timo Reis, Felix L. Schwenninger, Alexander Wierzba)
  • P04 - "Maxwell’s Equation" (Merlin Schmitz, Nathanael Skrepek)
  • P05 - "Energy-efficient predictive control of pH systems" (Manuel Schaller, Karl Worthmann)

 

Final Symposium (January 12th - 15th 2026)

Participants of the Project Phase are invited to Wuppertal for a four days workshop where the project teams will present their findings and additional lectures will be delivered by leading experts.

Technical Programme

Arrival on Sunday 11.01.26 afternoon and departure on Thursday 15.01.26 after lunch.